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Finding the Fourth Proportional to 268.56, 402.95 and 165.69

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Solution

The fourth proportional to 268.56, 402.95 and 165.69 is: 248.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.56 : 402.95 = 165.69 : x
  2. Step 2: Convert to fraction form
    268.56/402.95 = 165.69/x
  3. Step 3: Cross multiply
    268.56x = 402.95 × 165.69
  4. Step 4: Simplify right side
    268.56x = 66,765.20
  5. Step 5: Solve for x
    x = 66,765.20/268.56
  6. Step 6: Final answer
    x = 248.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.